Unified fractional integral and derivative formulas, integral transforms of incomplete \(\tau \)-hypergeometric function

DOI10.1007/S13370-020-00848-4zbMath1488.26025OpenAlexW3096048290MaRDI QIDQ821284

N. E. Zubov

Publication date: 20 September 2021

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-020-00848-4

zbMATH Keywords

incomplete gamma functionAppell functiongeneralized incomplete \(\tau\)-hypergeometric functionincomplete Pochhammer symbolsSaigo-Maeda fractional integral and derivative operators

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Gamma, beta and polygamma functions (33B15) Laplace transform (44A10) Integral transforms of special functions (44A20) Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05)

Uses Software

• DLMF

Cites Work

• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Further results on generalized hypergeometric functions
• Generating functions for a certain class of incomplete hypergeometric polynomials
• THE INCOMPLETE GENERALIZED τ-HYPERGEOMETRIC AND SECOND τ-APPELL FUNCTIONS
• The incomplete Pochhammer symbols and their applications to hypergeometric and related functions
• Some results on a generalized hypergeometric function
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